100312303023131 has 16 divisors (see below), whose sum is σ = 106254434664000. Its totient is φ = 94374775910400.

The previous prime is 100312303023083. The next prime is 100312303023133. The reversal of 100312303023131 is 131320303213001.

It is a cyclic number.

It is not a de Polignac number, because 100312303023131 - 2²² = 100312298828827 is a prime.

It is a super-3 number, since 3×100312303023131³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100312303023097 and 100312303023106.

It is not an unprimeable number, because it can be changed into a prime (100312303023133) 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, 1129585931 + ... + 1129674731.

It is an arithmetic number, because the mean of its divisors is an integer number (6640902166500).

Almost surely, 2^{100312303023131} is an apocalyptic number.

100312303023131 is a deficient number, since it is larger than the sum of its proper divisors (5942131640869).

100312303023131 is a wasteful number, since it uses less digits than its factorization.

100312303023131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113974.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 100312303023131 its reverse (131320303213001), we get a palindrome (231632606236132).

The spelling of 100312303023131 in words is "one hundred trillion, three hundred twelve billion, three hundred three million, twenty-three thousand, one hundred thirty-one".