101131020 has 36 divisors (see below), whose sum is σ = 306764640. Its totient is φ = 26968224.

The previous prime is 101131013. The next prime is 101131031. The reversal of 101131020 is 20131101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101130993 and 101131011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280740 + ... + 281099.

It is an arithmetic number, because the mean of its divisors is an integer number (8521240).

Almost surely, 2^101131020 is an apocalyptic number.

101131020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101131020 is an abundant number, since it is smaller than the sum of its proper divisors (205633620).

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

101131020 is a wasteful number, since it uses less digits than its factorization.

101131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561854 (or 561849 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101131020 is about 10056.3919971330. The cubic root of 101131020 is about 465.9022371620.

Adding to 101131020 its reverse (20131101), we get a palindrome (121262121).

The spelling of 101131020 in words is "one hundred one million, one hundred thirty-one thousand, twenty".