102122112313 has 8 divisors (see below), whose sum is σ = 110030997888. Its totient is φ = 94220846544.

The previous prime is 102122112269. The next prime is 102122112341. The reversal of 102122112313 is 313211221201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102122112313 - 2¹³ = 102122104121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102122112383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1877095 + ... + 1930732.

It is an arithmetic number, because the mean of its divisors is an integer number (13753874736).

Almost surely, 2^102122112313 is an apocalyptic number.

102122112313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102122112313 is a deficient number, since it is larger than the sum of its proper divisors (7908885575).

102122112313 is a wasteful number, since it uses less digits than its factorization.

102122112313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3809903.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 102122112313 its reverse (313211221201), we get a palindrome (415333333514).

The spelling of 102122112313 in words is "one hundred two billion, one hundred twenty-two million, one hundred twelve thousand, three hundred thirteen".