311001000100113 has 8 divisors (see below), whose sum is σ = 415386662181088. Its totient is φ = 206974669042944.

The previous prime is 311001000100099. The next prime is 311001000100117.

311001000100113 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 311001000100113 - 2³⁷ = 310863561146641 is a prime.

It is a super-2 number, since 2×311001000100113² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311001000100117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89832753931 + ... + 89832757392.

It is an arithmetic number, because the mean of its divisors is an integer number (51923332772636).

Almost surely, 2^{311001000100113} is an apocalyptic number.

It is an amenable number.

311001000100113 is a deficient number, since it is larger than the sum of its proper divisors (104385662080975).

311001000100113 is a wasteful number, since it uses less digits than its factorization.

311001000100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179665511903.

The product of its (nonzero) digits is 9, while the sum is 12.

It can be divided in two parts, 311001000 and 100113, that added together give a palindrome (311101113).

The spelling of 311001000100113 in words is "three hundred eleven trillion, one billion, one hundred thousand, one hundred thirteen".