101312341020 has 72 divisors (see below), whose sum is σ = 335251753200. Its totient is φ = 24560567040.

The previous prime is 101312341001. The next prime is 101312341027. The reversal of 101312341020 is 20143213101.

101312341020 is a `hidden beast` number, since 10 + 1 + 312 + 341 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101312340984 and 101312341002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312341027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25581945 + ... + 25585904.

It is an arithmetic number, because the mean of its divisors is an integer number (4656274350).

Almost surely, 2^101312341020 is an apocalyptic number.

101312341020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101312341020 is an abundant number, since it is smaller than the sum of its proper divisors (233939412180).

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

101312341020 is a wasteful number, since it uses less digits than its factorization.

101312341020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51167875 (or 51167870 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101312341020 its reverse (20143213101), we get a palindrome (121455554121).

The spelling of 101312341020 in words is "one hundred one billion, three hundred twelve million, three hundred forty-one thousand, twenty".