10102314311323 has 16 divisors (see below), whose sum is σ = 11519581401216. Its totient is φ = 8776518589440.

The previous prime is 10102314311321. The next prime is 10102314311329. The reversal of 10102314311323 is 32311341320101.

It is a cyclic number.

It is not a de Polignac number, because 10102314311323 - 2¹ = 10102314311321 is a prime.

It is a super-2 number, since 2×10102314311323² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10102314311321) 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, 13420263 + ... + 14153023.

It is an arithmetic number, because the mean of its divisors is an integer number (719973837576).

Almost surely, 2^{10102314311323} is an apocalyptic number.

10102314311323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10102314311323 is a deficient number, since it is larger than the sum of its proper divisors (1417267089893).

10102314311323 is a wasteful number, since it uses less digits than its factorization.

10102314311323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795174.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 10102314311323 its reverse (32311341320101), we get a palindrome (42413655631424).

The spelling of 10102314311323 in words is "ten trillion, one hundred two billion, three hundred fourteen million, three hundred eleven thousand, three hundred twenty-three".