102142314312413 has 8 divisors (see below), whose sum is σ = 102206105512128. Its totient is φ = 102078525707424.

The previous prime is 102142314312377. The next prime is 102142314312449. The reversal of 102142314312413 is 314213413241201.

It is an interprime number because it is at equal distance from previous prime (102142314312377) and next prime (102142314312449).

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 102142314312413 - 2¹⁸ = 102142314050269 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102142314312413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102142314392413) 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, 81337070 + ... + 82583312.

It is an arithmetic number, because the mean of its divisors is an integer number (12775763189016).

Almost surely, 2^{102142314312413} is an apocalyptic number.

It is an amenable number.

102142314312413 is a deficient number, since it is larger than the sum of its proper divisors (63791199715).

102142314312413 is a wasteful number, since it uses less digits than its factorization.

102142314312413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297363.

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 102142314312413 its reverse (314213413241201), we get a palindrome (416355727553614).

The spelling of 102142314312413 in words is "one hundred two trillion, one hundred forty-two billion, three hundred fourteen million, three hundred twelve thousand, four hundred thirteen".