10101001002013 has 8 divisors (see below), whose sum is σ = 10125965575808. Its totient is φ = 10076049998784.

The previous prime is 10101001001879. The next prime is 10101001002019. The reversal of 10101001002013 is 31020010010101.

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 10101001002013 - 2²¹ = 10100998904861 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 (10101001002019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1901331 + ... + 4880272.

It is an arithmetic number, because the mean of its divisors is an integer number (1265745696976).

Almost surely, 2^{10101001002013} is an apocalyptic number.

It is an amenable number.

10101001002013 is a deficient number, since it is larger than the sum of its proper divisors (24964573795).

10101001002013 is an equidigital number, since it uses as much as digits as its factorization.

10101001002013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6785283.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10101001002013 its reverse (31020010010101), we get a palindrome (41121011012114).

The spelling of 10101001002013 in words is "ten trillion, one hundred one billion, one million, two thousand, thirteen".