10133102132131 has 64 divisors (see below), whose sum is σ = 12120871311360. Its totient is φ = 8371647648000.

The previous prime is 10133102132123. The next prime is 10133102132143. The reversal of 10133102132131 is 13123120133101.

It is not a de Polignac number, because 10133102132131 - 2³ = 10133102132123 is a prime.

It is a super-2 number, since 2×10133102132131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10133102133131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150035136 + ... + 150102658.

It is an arithmetic number, because the mean of its divisors is an integer number (189388614240).

Almost surely, 2^{10133102132131} is an apocalyptic number.

10133102132131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10133102132131 is a deficient number, since it is larger than the sum of its proper divisors (1987769179229).

10133102132131 is a wasteful number, since it uses less digits than its factorization.

10133102132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67888.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 10133102132131 its reverse (13123120133101), we get a palindrome (23256222265232).

The spelling of 10133102132131 in words is "ten trillion, one hundred thirty-three billion, one hundred two million, one hundred thirty-two thousand, one hundred thirty-one".