10100011003113 has 4 divisors (see below), whose sum is σ = 13466681337488. Its totient is φ = 6733340668740.

The previous prime is 10100011003097. The next prime is 10100011003153. The reversal of 10100011003113 is 31130011000101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 10100011003113 - 2⁴ = 10100011003097 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100011003153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1683335167183 + ... + 1683335167188.

It is an arithmetic number, because the mean of its divisors is an integer number (3366670334372).

Almost surely, 2^{10100011003113} is an apocalyptic number.

It is an amenable number.

10100011003113 is a deficient number, since it is larger than the sum of its proper divisors (3366670334375).

10100011003113 is an equidigital number, since it uses as much as digits as its factorization.

10100011003113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366670334374.

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

Adding to 10100011003113 its reverse (31130011000101), we get a palindrome (41230022003214).

The spelling of 10100011003113 in words is "ten trillion, one hundred billion, eleven million, three thousand, one hundred thirteen".