10010210113313 has 16 divisors (see below), whose sum is σ = 10057621271040. Its totient is φ = 9962935497216.

The previous prime is 10010210113301. The next prime is 10010210113327. The reversal of 10010210113313 is 31331101201001.

It is a cyclic number.

It is not a de Polignac number, because 10010210113313 - 2⁴ = 10010210113297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10010210113291 and 10010210113300.

It is not an unprimeable number, because it can be changed into a prime (10010210113373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386645873 + ... + 386671761.

It is an arithmetic number, because the mean of its divisors is an integer number (628601329440).

Almost surely, 2^{10010210113313} is an apocalyptic number.

It is an amenable number.

10010210113313 is a deficient number, since it is larger than the sum of its proper divisors (47411157727).

10010210113313 is a wasteful number, since it uses less digits than its factorization.

10010210113313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28456.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10010210113313 its reverse (31331101201001), we get a palindrome (41341311314314).

The spelling of 10010210113313 in words is "ten trillion, ten billion, two hundred ten million, one hundred thirteen thousand, three hundred thirteen".