101332000110331 has 16 divisors (see below), whose sum is σ = 108589081027680. Its totient is φ = 94224003909120.

The previous prime is 101332000110323. The next prime is 101332000110349. The reversal of 101332000110331 is 133011000233101.

It is a cyclic number.

It is not a de Polignac number, because 101332000110331 - 2³ = 101332000110323 is a prime.

It is a super-2 number, since 2×101332000110331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101332000110299 and 101332000110308.

It is not an unprimeable number, because it can be changed into a prime (101332000110311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78154380 + ... + 79440361.

It is an arithmetic number, because the mean of its divisors is an integer number (6786817564230).

Almost surely, 2^{101332000110331} is an apocalyptic number.

101332000110331 is a deficient number, since it is larger than the sum of its proper divisors (7257080917349).

101332000110331 is a wasteful number, since it uses less digits than its factorization.

101332000110331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157595214.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101332000110331 its reverse (133011000233101), we get a palindrome (234343000343432).

The spelling of 101332000110331 in words is "one hundred one trillion, three hundred thirty-two billion, one hundred ten thousand, three hundred thirty-one".