101331113313101 has 12 divisors (see below), whose sum is σ = 119367056761920. Its totient is φ = 85755806561880.

The previous prime is 101331113313077. The next prime is 101331113313103. The reversal of 101331113313101 is 101313311133101.

It is a de Polignac number, because none of the positive numbers 2^k-101331113313101 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 (101331113313103) 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, 13088489195 + ... + 13088496936.

It is an arithmetic number, because the mean of its divisors is an integer number (9947254730160).

Almost surely, 2^{101331113313101} is an apocalyptic number.

It is an amenable number.

101331113313101 is a deficient number, since it is larger than the sum of its proper divisors (18035943448819).

101331113313101 is an equidigital number, since it uses as much as digits as its factorization.

101331113313101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26176986224 (or 26176986217 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 23.

Adding to 101331113313101 its reverse (101313311133101), we get a palindrome (202644424446202).

The spelling of 101331113313101 in words is "one hundred one trillion, three hundred thirty-one billion, one hundred thirteen million, three hundred thirteen thousand, one hundred one".