1011000013013 has 16 divisors (see below), whose sum is σ = 1031073369984. Its totient is φ = 991104649920.

The previous prime is 1011000012973. The next prime is 1011000013039. The reversal of 1011000013013 is 3103100001101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1011000013013 - 2²⁴ = 1010983235797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011000012985 and 1011000013003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011000015013) 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, 8878706 + ... + 8991852.

It is an arithmetic number, because the mean of its divisors is an integer number (64442085624).

Almost surely, 2^{1011000013013} is an apocalyptic number.

It is an amenable number.

1011000013013 is a deficient number, since it is larger than the sum of its proper divisors (20073356971).

1011000013013 is a wasteful number, since it uses less digits than its factorization.

1011000013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113932.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 1011000013013 its reverse (3103100001101), we get a palindrome (4114100014114).

The spelling of 1011000013013 in words is "one trillion, eleven billion, thirteen thousand, thirteen".