6007057101213 has 32 divisors (see below), whose sum is σ = 9451168038912. Its totient is φ = 3321073526400.

The previous prime is 6007057101203. The next prime is 6007057101391. The reversal of 6007057101213 is 3121017507006.

It is not a de Polignac number, because 6007057101213 - 2⁹ = 6007057100701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6007057101203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1592668 + ... + 3814538.

It is an arithmetic number, because the mean of its divisors is an integer number (295349001216).

Almost surely, 2^{6007057101213} is an apocalyptic number.

It is an amenable number.

6007057101213 is a deficient number, since it is larger than the sum of its proper divisors (3444110937699).

6007057101213 is a wasteful number, since it uses less digits than its factorization.

6007057101213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226065.

The product of its (nonzero) digits is 8820, while the sum is 33.

The spelling of 6007057101213 in words is "six trillion, seven billion, fifty-seven million, one hundred one thousand, two hundred thirteen".