101113331331 has 32 divisors (see below), whose sum is σ = 141486289920. Its totient is φ = 64109320704.

The previous prime is 101113331273. The next prime is 101113331351. The reversal of 101113331331 is 133133311101.

It is not a de Polignac number, because 101113331331 - 2¹⁵ = 101113298563 is a prime.

It is a super-2 number, since 2×101113331331² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101113331298 and 101113331307.

It is not an unprimeable number, because it can be changed into a prime (101113331351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8827450 + ... + 8838896.

It is an arithmetic number, because the mean of its divisors is an integer number (4421446560).

Almost surely, 2^101113331331 is an apocalyptic number.

101113331331 is a deficient number, since it is larger than the sum of its proper divisors (40372958589).

101113331331 is a wasteful number, since it uses less digits than its factorization.

101113331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12195.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 101113331331 its reverse (133133311101), we get a palindrome (234246642432).

The spelling of 101113331331 in words is "one hundred one billion, one hundred thirteen million, three hundred thirty-one thousand, three hundred thirty-one".