101013313311 has 12 divisors (see below), whose sum is σ = 145912818688. Its totient is φ = 67340039904.

The previous prime is 101013313307. The next prime is 101013313321. The reversal of 101013313311 is 113313310101.

101013313311 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 331 + 331 + 1 = 666.

It is not a de Polignac number, because 101013313311 - 2² = 101013313307 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013313321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145131 + ... + 472323.

Almost surely, 2^101013313311 is an apocalyptic number.

101013313311 is a deficient number, since it is larger than the sum of its proper divisors (44899505377).

101013313311 is a wasteful number, since it uses less digits than its factorization.

101013313311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361502 (or 361499 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 101013313311 its reverse (113313310101), we get a palindrome (214326623412).

The spelling of 101013313311 in words is "one hundred one billion, thirteen million, three hundred thirteen thousand, three hundred eleven".