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13131132032010 = 2352357827322447
BaseRepresentation
bin1011111100010101010001…
…1101011101010000001010
31201111022202011112221212210
42333011110131131100022
53210120024300011020
643532205255045550
72523456456442536
oct277052435352012
951438664487783
1013131132032010
114202977782273
121580a996708b6
13743350247775
1433579b9aabc6
1517b886aac3e0
hexbf15475d40a

13131132032010 has 64 divisors (see below), whose sum is σ = 31533303255552. Its totient is φ = 3499570584576.

The previous prime is 13131132031957. The next prime is 13131132032063. The reversal of 13131132032010 is 1023023113131.

It is a happy number.

13131132032010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13131132031957) and next prime (13131132032063).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 584972607 + ... + 584995053.

It is an arithmetic number, because the mean of its divisors is an integer number (492707863368).

Almost surely, 213131132032010 is an apocalyptic number.

13131132032010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13131132032010 is an abundant number, since it is smaller than the sum of its proper divisors (18402171223542).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13131132032010 is a wasteful number, since it uses less digits than its factorization.

13131132032010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33087.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13131132032010 its reverse (1023023113131), we get a palindrome (14154155145141).

The spelling of 13131132032010 in words is "thirteen trillion, one hundred thirty-one billion, one hundred thirty-two million, thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 2357 4714 7071 8273 11785 14142 16546 22447 23570 24819 35355 41365 44894 49638 67341 70710 82730 112235 124095 134682 224470 248190 336705 673410 19499461 38998922 52907579 58498383 97497305 105815158 116996766 158722737 185704031 194994610 264537895 292491915 317445474 371408062 529075790 557112093 584983830 793613685 928520155 1114224186 1587227370 1857040310 2785560465 5571120930 437704401067 875408802134 1313113203201 2188522005335 2626226406402 4377044010670 6565566016005 13131132032010