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131303203102213 = 29157827111731219
BaseRepresentation
bin11101110110101101101000…
…110001110101111000000101
3122012220110111222120012012021
4131312231220301311320011
5114202232424443232323
61143131505255123141
736441225530253442
oct3566555061657005
9565813458505167
10131303203102213
11389234150a152a
12128875350734b1
135835aba16617c
14245d174cdc9c9
15102a76e7d105d
hex776b68c75e05

131303203102213 has 32 divisors (see below), whose sum is σ = 136988269891200. Its totient is φ = 125699036246784.

The previous prime is 131303203102193. The next prime is 131303203102277. The reversal of 131303203102213 is 312201302303131.

It is a cyclic number.

It is not a de Polignac number, because 131303203102213 - 233 = 131294613167621 is a prime.

It is a super-2 number, since 2×1313032031022132 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131303203142213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4205859118 + ... + 4205890336.

It is an arithmetic number, because the mean of its divisors is an integer number (4280883434100).

Almost surely, 2131303203102213 is an apocalyptic number.

It is an amenable number.

131303203102213 is a deficient number, since it is larger than the sum of its proper divisors (5685066788987).

131303203102213 is a wasteful number, since it uses less digits than its factorization.

131303203102213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33349.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 131303203102213 its reverse (312201302303131), we get a palindrome (443504505405344).

The spelling of 131303203102213 in words is "one hundred thirty-one trillion, three hundred three billion, two hundred three million, one hundred two thousand, two hundred thirteen".

Divisors: 1 29 157 827 1117 4553 23983 31219 32393 129839 175369 905351 923759 3765331 4901383 5085701 25818113 26789011 34871623 142140107 145030163 748725277 1011277067 4053443741 4205874727 5474844811 28838832221 117549868489 158770499519 836326134409 4527696658697 131303203102213