101051133138531 has 24 divisors (see below), whose sum is σ = 146016110462976. Its totient is φ = 67342796342640.

The previous prime is 101051133138523. The next prime is 101051133138581. The reversal of 101051133138531 is 135831331150101.

101051133138531 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 113 + 3 + 1 + 3 + 8 + 531 = 666.

It is not a de Polignac number, because 101051133138531 - 2³ = 101051133138523 is a prime.

It is a super-2 number, since 2×101051133138531² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101051133138581) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412023166 + ... + 412268348.

It is an arithmetic number, because the mean of its divisors is an integer number (6084004602624).

Almost surely, 2^{101051133138531} is an apocalyptic number.

101051133138531 is a deficient number, since it is larger than the sum of its proper divisors (44964977324445).

101051133138531 is a wasteful number, since it uses less digits than its factorization.

101051133138531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261743 (or 261740 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

Adding to 101051133138531 its reverse (135831331150101), we get a palindrome (236882464288632).

The spelling of 101051133138531 in words is "one hundred one trillion, fifty-one billion, one hundred thirty-three million, one hundred thirty-eight thousand, five hundred thirty-one".