1001100013131 has 8 divisors (see below), whose sum is σ = 1367356115664. Its totient is φ = 651121959680.

The previous prime is 1001100013127. The next prime is 1001100013153. The reversal of 1001100013131 is 1313100011001.

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

It is a cyclic number.

It is not a de Polignac number, because 1001100013131 - 2² = 1001100013127 is a prime.

It is a super-2 number, since 2×1001100013131² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001100013031) 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, 4069512126 + ... + 4069512371.

It is an arithmetic number, because the mean of its divisors is an integer number (170919514458).

Almost surely, 2^{1001100013131} is an apocalyptic number.

1001100013131 is a deficient number, since it is larger than the sum of its proper divisors (366256102533).

1001100013131 is an equidigital number, since it uses as much as digits as its factorization.

1001100013131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8139024541.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1001100013131 its reverse (1313100011001), we get a palindrome (2314200024132).

The spelling of 1001100013131 in words is "one trillion, one billion, one hundred million, thirteen thousand, one hundred thirty-one".