101320133213112 has 64 divisors (see below), whose sum is σ = 276329115446400. Its totient is φ = 30702906291840.

The previous prime is 101320133213111. The next prime is 101320133213113. The reversal of 101320133213112 is 211312331023101.

It is an interprime number because it is at equal distance from previous prime (101320133213111) and next prime (101320133213113).

It is a super-2 number, since 2×101320133213112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320133213111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53934939 + ... + 55781877.

It is an arithmetic number, because the mean of its divisors is an integer number (4317642428850).

Almost surely, 2^{101320133213112} is an apocalyptic number.

101320133213112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101320133213112 is an abundant number, since it is smaller than the sum of its proper divisors (175008982233288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101320133213112 is a wasteful number, since it uses less digits than its factorization.

101320133213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054756 (or 2054752 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 101320133213112 its reverse (211312331023101), we get a palindrome (312632464236213).

The spelling of 101320133213112 in words is "one hundred one trillion, three hundred twenty billion, one hundred thirty-three million, two hundred thirteen thousand, one hundred twelve".