313001013101 has 16 divisors (see below), whose sum is σ = 360589737984. Its totient is φ = 266139370224.

The previous prime is 313001013007. The next prime is 313001013119. The reversal of 313001013101 is 101310100313.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-313001013101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313001013131) 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, 87500 + ... + 796026.

It is an arithmetic number, because the mean of its divisors is an integer number (22536858624).

Almost surely, 2^313001013101 is an apocalyptic number.

It is an amenable number.

313001013101 is a deficient number, since it is larger than the sum of its proper divisors (47588724883).

313001013101 is a wasteful number, since it uses less digits than its factorization.

313001013101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709040.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 313001013101 its reverse (101310100313), we get a palindrome (414311113414).

It can be divided in two parts, 31300 and 1013101, that added together give a palindrome (1044401).

The spelling of 313001013101 in words is "three hundred thirteen billion, one million, thirteen thousand, one hundred one".