100131200213123 has 16 divisors (see below), whose sum is σ = 102360861671040. Its totient is φ = 97923217398336.

The previous prime is 100131200213101. The next prime is 100131200213137. The reversal of 100131200213123 is 321312002131001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100131200213123 - 2³² = 100126905245827 is a prime.

It is a super-2 number, since 2×100131200213123² (a number of 29 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 = 100131200213095 and 100131200213104.

It is not an unprimeable number, because it can be changed into a prime (100131200213153) 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, 251410340 + ... + 251808302.

It is an arithmetic number, because the mean of its divisors is an integer number (6397553854440).

Almost surely, 2^{100131200213123} is an apocalyptic number.

100131200213123 is a deficient number, since it is larger than the sum of its proper divisors (2229661457917).

100131200213123 is a wasteful number, since it uses less digits than its factorization.

100131200213123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425186.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 100131200213123 its reverse (321312002131001), we get a palindrome (421443202344124).

The spelling of 100131200213123 in words is "one hundred trillion, one hundred thirty-one billion, two hundred million, two hundred thirteen thousand, one hundred twenty-three".