6131001000007 has 8 divisors (see below), whose sum is σ = 6617656596320. Its totient is φ = 5646493994400.

The previous prime is 6131000999993. The next prime is 6131001000013. The reversal of 6131001000007 is 7000001001316.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6131001000007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6131401000007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 537141744 + ... + 537153157.

It is an arithmetic number, because the mean of its divisors is an integer number (827207074540).

Almost surely, 2^{6131001000007} is an apocalyptic number.

6131001000007 is a deficient number, since it is larger than the sum of its proper divisors (486655596313).

6131001000007 is a wasteful number, since it uses less digits than its factorization.

6131001000007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074295353.

The product of its (nonzero) digits is 126, while the sum is 19.

The spelling of 6131001000007 in words is "six trillion, one hundred thirty-one billion, one million, seven", and thus it is an aban number.