13123012013013 has 32 divisors (see below), whose sum is σ = 20174017454080. Its totient is φ = 7432649242560.

The previous prime is 13123012012967. The next prime is 13123012013107. The reversal of 13123012013013 is 31031021032131.

It is a happy number.

It is not a de Polignac number, because 13123012013013 - 2²² = 13123007818709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13123012011013) 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, 1931398 + ... + 5475063.

It is an arithmetic number, because the mean of its divisors is an integer number (630438045440).

Almost surely, 2^{13123012013013} is an apocalyptic number.

It is an amenable number.

13123012013013 is a deficient number, since it is larger than the sum of its proper divisors (7051005441067).

13123012013013 is a wasteful number, since it uses less digits than its factorization.

13123012013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7407217.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 13123012013013 its reverse (31031021032131), we get a palindrome (44154033045144).

The spelling of 13123012013013 in words is "thirteen trillion, one hundred twenty-three billion, twelve million, thirteen thousand, thirteen".