10101132131 has 16 divisors (see below), whose sum is σ = 10769544864. Its totient is φ = 9441099264.

The previous prime is 10101132073. The next prime is 10101132143. The reversal of 10101132131 is 13123110101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10101132131 - 2²² = 10096937827 is a prime.

It is a super-2 number, since 2×10101132131² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101132161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3771965 + ... + 3774641.

It is an arithmetic number, because the mean of its divisors is an integer number (673096554).

Almost surely, 2^10101132131 is an apocalyptic number.

10101132131 is a deficient number, since it is larger than the sum of its proper divisors (668412733).

10101132131 is a wasteful number, since it uses less digits than its factorization.

10101132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10101132131 its reverse (13123110101), we get a palindrome (23224242232).

The spelling of 10101132131 in words is "ten billion, one hundred one million, one hundred thirty-two thousand, one hundred thirty-one".