101320001310020 has 48 divisors (see below), whose sum is σ = 225311984478000. Its totient is φ = 38139940122624.

The previous prime is 101320001309983. The next prime is 101320001310029. The reversal of 101320001310020 is 20013100023101.

It can be written as a sum of positive squares in 8 ways, for example, as 37763900914756 + 63556100395264 = 6145234^2 + 7972208^2 .

It is a super-3 number, since 3×101320001310020³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101320001309977 and 101320001310004.

It is not an unprimeable number, because it can be changed into a prime (101320001310029) 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, 12661145 + ... + 19051104.

It is an arithmetic number, because the mean of its divisors is an integer number (4693999676625).

Almost surely, 2^{101320001310020} is an apocalyptic number.

101320001310020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101320001310020 is an abundant number, since it is smaller than the sum of its proper divisors (123991983167980).

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

101320001310020 is a wasteful number, since it uses less digits than its factorization.

101320001310020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31721672 (or 31721670 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 101320001310020 its reverse (20013100023101), we get a palindrome (121333101333121).

The spelling of 101320001310020 in words is "one hundred one trillion, three hundred twenty billion, one million, three hundred ten thousand, twenty".