10002011013 has 12 divisors (see below), whose sum is σ = 15297193548. Its totient is φ = 6275771520.

The previous prime is 10002011003. The next prime is 10002011023. The reversal of 10002011013 is 31011020001.

It is an interprime number because it is at equal distance from previous prime (10002011003) and next prime (10002011023).

It can be written as a sum of positive squares in 2 ways, for example, as 2922807969 + 7079203044 = 54063^2 + 84138^2 .

It is not a de Polignac number, because 10002011013 - 2⁵ = 10002010981 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 = 10002010986 and 10002011004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002011003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32686158 + ... + 32686463.

It is an arithmetic number, because the mean of its divisors is an integer number (1274766129).

Almost surely, 2^10002011013 is an apocalyptic number.

It is an amenable number.

10002011013 is a deficient number, since it is larger than the sum of its proper divisors (5295182535).

10002011013 is a wasteful number, since it uses less digits than its factorization.

10002011013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65372644 (or 65372641 counting only the distinct ones).

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

Adding to 10002011013 its reverse (31011020001), we get a palindrome (41013031014).

The spelling of 10002011013 in words is "ten billion, two million, eleven thousand, thirteen".