101430002131056 has 30 divisors (see below), whose sum is σ = 283863130964400. Its totient is φ = 33810000710304.

The previous prime is 101430002131021. The next prime is 101430002131061. The reversal of 101430002131056 is 650131200034101.

It is a happy number.

101430002131056 is a `hidden beast` number, since 1 + 0 + 1 + 430 + 0 + 0 + 213 + 10 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 352187507256 + ... + 352187507543.

It is an arithmetic number, because the mean of its divisors is an integer number (9462104365480).

Almost surely, 2^{101430002131056} is an apocalyptic number.

101430002131056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101430002131056 is an abundant number, since it is smaller than the sum of its proper divisors (182433128833344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101430002131056 is a wasteful number, since it uses less digits than its factorization.

101430002131056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704375014813 (or 704375014804 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 101430002131056 its reverse (650131200034101), we get a palindrome (751561202165157).

The spelling of 101430002131056 in words is "one hundred one trillion, four hundred thirty billion, two million, one hundred thirty-one thousand, fifty-six".