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13131323101 = 134333170969
BaseRepresentation
bin11000011101011000…
…00001011011011101
31020220010220022220001
430032230001123131
5203343104314401
610011001454301
7643256255551
oct141654013335
936803808801
1013131323101
115629320446
1226657a1391
131313661790
148c7d91861
1551cc42601
hex30eb016dd

13131323101 has 16 divisors (see below), whose sum is σ = 14514216640. Its totient is φ = 11803397760.

The previous prime is 13131323081. The next prime is 13131323119. The reversal of 13131323101 is 10132313131.

13131323101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 13131323101 - 25 = 13131323069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131323131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149545 + ... + 220513.

It is an arithmetic number, because the mean of its divisors is an integer number (907138540).

Almost surely, 213131323101 is an apocalyptic number.

It is an amenable number.

13131323101 is a deficient number, since it is larger than the sum of its proper divisors (1382893539).

13131323101 is a wasteful number, since it uses less digits than its factorization.

13131323101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71356.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13131323101 its reverse (10132313131), we get a palindrome (23263636232).

The spelling of 13131323101 in words is "thirteen billion, one hundred thirty-one million, three hundred twenty-three thousand, one hundred one".

Divisors: 1 13 43 331 559 4303 14233 70969 185029 922597 3051667 23490739 39671671 305379607 1010101777 13131323101