10642633631513 has 16 divisors (see below), whose sum is σ = 11577735052800. Its totient is φ = 9724215844800.

The previous prime is 10642633631449. The next prime is 10642633631537. The reversal of 10642633631513 is 31513633624601.

It is a happy number.

It is not a de Polignac number, because 10642633631513 - 2⁶ = 10642633631449 is a prime.

It is a super-2 number, since 2×10642633631513² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10642633631593) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4111508 + ... + 6179786.

It is an arithmetic number, because the mean of its divisors is an integer number (723608440800).

Almost surely, 2^{10642633631513} is an apocalyptic number.

10642633631513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10642633631513 is a deficient number, since it is larger than the sum of its proper divisors (935101421287).

10642633631513 is a wasteful number, since it uses less digits than its factorization.

10642633631513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2072312.

The product of its (nonzero) digits is 699840, while the sum is 44.

The spelling of 10642633631513 in words is "ten trillion, six hundred forty-two billion, six hundred thirty-three million, six hundred thirty-one thousand, five hundred thirteen".