100010506131 has 48 divisors (see below), whose sum is σ = 155420778240. Its totient is φ = 61784769600.

The previous prime is 100010506021. The next prime is 100010506181. The reversal of 100010506131 is 131605010001.

100010506131 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 1 + 0 + 50 + 613 + 1 = 666.

It is not a de Polignac number, because 100010506131 - 2¹⁵ = 100010473363 is a prime.

It is a super-2 number, since 2×100010506131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100010506181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1398610 + ... + 1468376.

It is an arithmetic number, because the mean of its divisors is an integer number (3237932880).

Almost surely, 2^100010506131 is an apocalyptic number.

100010506131 is a deficient number, since it is larger than the sum of its proper divisors (55410272109).

100010506131 is a wasteful number, since it uses less digits than its factorization.

100010506131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69976 (or 69973 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 100010506131 its reverse (131605010001), we get a palindrome (231615516132).

The spelling of 100010506131 in words is "one hundred billion, ten million, five hundred six thousand, one hundred thirty-one".