102242220314013 has 64 divisors (see below), whose sum is σ = 163257295505920. Its totient is φ = 62865920641536.

The previous prime is 102242220313993. The next prime is 102242220314033. The reversal of 102242220314013 is 310413022242201.

102242220314013 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 4 + 2 + 220 + 31 + 401 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (102242220313993) and next prime (102242220314033).

It is not a de Polignac number, because 102242220314013 - 2⁹ = 102242220313501 is a prime.

It is a super-2 number, since 2×102242220314013² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102242220314033) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6692551131 + ... + 6692566407.

It is an arithmetic number, because the mean of its divisors is an integer number (2550895242280).

Almost surely, 2^{102242220314013} is an apocalyptic number.

102242220314013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102242220314013 is a deficient number, since it is larger than the sum of its proper divisors (61015075191907).

102242220314013 is a wasteful number, since it uses less digits than its factorization.

102242220314013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29923 (or 29917 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 102242220314013 its reverse (310413022242201), we get a palindrome (412655242556214).

The spelling of 102242220314013 in words is "one hundred two trillion, two hundred forty-two billion, two hundred twenty million, three hundred fourteen thousand, thirteen".