10010102013 has 32 divisors (see below), whose sum is σ = 15136035200. Its totient is φ = 6536505600.

The previous prime is 10010102009. The next prime is 10010102017. The reversal of 10010102013 is 31020101001.

It is an interprime number because it is at equal distance from previous prime (10010102009) and next prime (10010102017).

It is not a de Polignac number, because 10010102013 - 2² = 10010102009 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010101986 and 10010102004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010102017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384318 + ... + 409536.

It is an arithmetic number, because the mean of its divisors is an integer number (473001100).

Almost surely, 2^10010102013 is an apocalyptic number.

It is an amenable number.

10010102013 is a deficient number, since it is larger than the sum of its proper divisors (5125933187).

10010102013 is a wasteful number, since it uses less digits than its factorization.

10010102013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25530 (or 25524 counting only the distinct ones).

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

Adding to 10010102013 its reverse (31020101001), we get a palindrome (41030203014).

The spelling of 10010102013 in words is "ten billion, ten million, one hundred two thousand, thirteen".