101113021333011 has 16 divisors (see below), whose sum is σ = 139357734483968. Its totient is φ = 65144476584000.

The previous prime is 101113021333003. The next prime is 101113021333013. The reversal of 101113021333011 is 110333120311101.

It is not a de Polignac number, because 101113021333011 - 2³ = 101113021333003 is a prime.

It is a super-2 number, since 2×101113021333011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101113021333013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747688090 + ... + 747823311.

It is an arithmetic number, because the mean of its divisors is an integer number (8709858405248).

Almost surely, 2^{101113021333011} is an apocalyptic number.

101113021333011 is a deficient number, since it is larger than the sum of its proper divisors (38244713150957).

101113021333011 is a wasteful number, since it uses less digits than its factorization.

101113021333011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495512162.

The product of its (nonzero) digits is 162, while the sum is 21.

Adding to 101113021333011 its reverse (110333120311101), we get a palindrome (211446141644112).

The spelling of 101113021333011 in words is "one hundred one trillion, one hundred thirteen billion, twenty-one million, three hundred thirty-three thousand, eleven".