101313121233311 has 32 divisors (see below), whose sum is σ = 111733829222400. Its totient is φ = 91278863475840.

The previous prime is 101313121233283. The next prime is 101313121233349. The reversal of 101313121233311 is 113332121313101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101313121233311 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 (101313121203311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629041130 + ... + 629202168.

It is an arithmetic number, because the mean of its divisors is an integer number (3491682163200).

Almost surely, 2^{101313121233311} is an apocalyptic number.

101313121233311 is a deficient number, since it is larger than the sum of its proper divisors (10420707989089).

101313121233311 is a wasteful number, since it uses less digits than its factorization.

101313121233311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163919.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 101313121233311 its reverse (113332121313101), we get a palindrome (214645242546412).

The spelling of 101313121233311 in words is "one hundred one trillion, three hundred thirteen billion, one hundred twenty-one million, two hundred thirty-three thousand, three hundred eleven".