101303032131 has 32 divisors (see below), whose sum is σ = 175018752000. Its totient is φ = 57887441640.

The previous prime is 101303032123. The next prime is 101303032139. The reversal of 101303032131 is 131230303101.

It is a happy number.

101303032131 is a `hidden beast` number, since 10 + 1 + 303 + 0 + 321 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (101303032123) and next prime (101303032139).

It is not a de Polignac number, because 101303032131 - 2³ = 101303032123 is a prime.

It is a super-2 number, since 2×101303032131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101303032139) 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 31 ways as a sum of consecutive naturals, for example, 5460075 + ... + 5478596.

It is an arithmetic number, because the mean of its divisors is an integer number (5469336000).

Almost surely, 2^101303032131 is an apocalyptic number.

101303032131 is a deficient number, since it is larger than the sum of its proper divisors (73715719869).

101303032131 is an equidigital number, since it uses as much as digits as its factorization.

101303032131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10938701 (or 10938681 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101303032131 its reverse (131230303101), we get a palindrome (232533335232).

The spelling of 101303032131 in words is "one hundred one billion, three hundred three million, thirty-two thousand, one hundred thirty-one".