102055505313330 has 48 divisors (see below), whose sum is σ = 267034405022424. Its totient is φ = 27041458728960.

The previous prime is 102055505313329. The next prime is 102055505313353. The reversal of 102055505313330 is 33313505550201.

102055505313330 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 5 + 5 + 5 + 0 + 5 + 313 + 330 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47680115996241 + 54375389317089 = 6905079^2 + 7373967^2 .

It is a super-3 number, since 3×102055505313330³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3611291791 + ... + 3611320050.

Almost surely, 2^{102055505313330} is an apocalyptic number.

102055505313330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102055505313330 is an abundant number, since it is smaller than the sum of its proper divisors (164978899709094).

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

102055505313330 is a wasteful number, since it uses less digits than its factorization.

102055505313330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7222612011 (or 7222612008 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 36.

The spelling of 102055505313330 in words is "one hundred two trillion, fifty-five billion, five hundred five million, three hundred thirteen thousand, three hundred thirty".