1007564131113 has 8 divisors (see below), whose sum is σ = 1345632054528. Its totient is φ = 670602814224.

The previous prime is 1007564131039. The next prime is 1007564131121. The reversal of 1007564131113 is 3111314657001.

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

It is a de Polignac number, because none of the positive numbers 2^k-1007564131113 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1007564131163) 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, 276649506 + ... + 276653147.

It is an arithmetic number, because the mean of its divisors is an integer number (168204006816).

Almost surely, 2^{1007564131113} is an apocalyptic number.

It is an amenable number.

1007564131113 is a deficient number, since it is larger than the sum of its proper divisors (338067923415).

1007564131113 is an equidigital number, since it uses as much as digits as its factorization.

1007564131113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553303263.

The product of its (nonzero) digits is 7560, while the sum is 33.

Adding to 1007564131113 its reverse (3111314657001), we get a palindrome (4118878788114).

The spelling of 1007564131113 in words is "one trillion, seven billion, five hundred sixty-four million, one hundred thirty-one thousand, one hundred thirteen".