10101020013 has 24 divisors (see below), whose sum is σ = 16802001216. Its totient is φ = 5727945600.

The previous prime is 10101019969. The next prime is 10101020021. The reversal of 10101020013 is 31002010101.

It is not a de Polignac number, because 10101020013 - 2⁶ = 10101019949 is a prime.

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 = 10101019977 and 10101020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101020053) 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, 603708 + ... + 620213.

It is an arithmetic number, because the mean of its divisors is an integer number (700083384).

Almost surely, 2^10101020013 is an apocalyptic number.

It is an amenable number.

10101020013 is a deficient number, since it is larger than the sum of its proper divisors (6700981203).

10101020013 is a wasteful number, since it uses less digits than its factorization.

10101020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224065 (or 1224062 counting only the distinct ones).

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

Adding to 10101020013 its reverse (31002010101), we get a palindrome (41103030114).

The spelling of 10101020013 in words is "ten billion, one hundred one million, twenty thousand, thirteen".