102133113112309 has 16 divisors (see below), whose sum is σ = 114234807228480. Its totient is φ = 90744269241600.

The previous prime is 102133113112301. The next prime is 102133113112421. The reversal of 102133113112309 is 903211311331201.

It is a cyclic number.

It is not a de Polignac number, because 102133113112309 - 2³ = 102133113112301 is a prime.

It is a super-2 number, since 2×102133113112309² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133113112301) 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, 558568642 + ... + 558751459.

It is an arithmetic number, because the mean of its divisors is an integer number (7139675451780).

Almost surely, 2^{102133113112309} is an apocalyptic number.

102133113112309 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

102133113112309 is a deficient number, since it is larger than the sum of its proper divisors (12101694116171).

102133113112309 is a wasteful number, since it uses less digits than its factorization.

102133113112309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117320420.

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 102133113112309 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred thirteen million, one hundred twelve thousand, three hundred nine".