10100133131123 has 32 divisors (see below), whose sum is σ = 11739413348352. Its totient is φ = 8510671360800.

The previous prime is 10100133131119. The next prime is 10100133131131. The reversal of 10100133131123 is 32113133100101.

It is not a de Polignac number, because 10100133131123 - 2² = 10100133131119 is a prime.

It is a super-2 number, since 2×10100133131123² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10100133131095 and 10100133131104.

It is not an unprimeable number, because it can be changed into a prime (10100133131183) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182265790 + ... + 1182274332.

It is an arithmetic number, because the mean of its divisors is an integer number (366856667136).

Almost surely, 2^{10100133131123} is an apocalyptic number.

10100133131123 is a deficient number, since it is larger than the sum of its proper divisors (1639280217229).

10100133131123 is an equidigital number, since it uses as much as digits as its factorization.

10100133131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15215.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 10100133131123 its reverse (32113133100101), we get a palindrome (42213266231224).

The spelling of 10100133131123 in words is "ten trillion, one hundred billion, one hundred thirty-three million, one hundred thirty-one thousand, one hundred twenty-three".