13013103400002 has 24 divisors (see below), whose sum is σ = 28195520000700. Its totient is φ = 4337629958880.

The previous prime is 13013103399871. The next prime is 13013103400051. The reversal of 13013103400002 is 20000430131031.

13013103400002 is a `hidden beast` number, since 13 + 0 + 1 + 310 + 340 + 0 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12985003247841 + 28100152161 = 3603471^2 + 167631^2 .

It is a super-2 number, since 2×13013103400002² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4797877 + ... + 7003272.

Almost surely, 2^{13013103400002} is an apocalyptic number.

13013103400002 is an abundant number, since it is smaller than the sum of its proper divisors (15182416600698).

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

13013103400002 is a wasteful number, since it uses less digits than its factorization.

13013103400002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11862418 (or 11862415 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13013103400002 its reverse (20000430131031), we get a palindrome (33013533531033).

The spelling of 13013103400002 in words is "thirteen trillion, thirteen billion, one hundred three million, four hundred thousand, two".