311001020100113 has 16 divisors (see below), whose sum is σ = 356362044358656. Its totient is φ = 265873089387600.

The previous prime is 311001020100103. The next prime is 311001020100217.

It is a happy number.

311001020100113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311001020100113 - 2¹⁰ = 311001020099089 is a prime.

It is a super-2 number, since 2×311001020100113² (a number of 30 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (311001020100103) 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, 237019070 + ... + 238327592.

It is an arithmetic number, because the mean of its divisors is an integer number (22272627772416).

Almost surely, 2^{311001020100113} is an apocalyptic number.

It is an amenable number.

311001020100113 is a deficient number, since it is larger than the sum of its proper divisors (45361024258543).

311001020100113 is a wasteful number, since it uses less digits than its factorization.

311001020100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397564.

The product of its (nonzero) digits is 18, while the sum is 14.

The spelling of 311001020100113 in words is "three hundred eleven trillion, one billion, twenty million, one hundred thousand, one hundred thirteen".