10152311313305 has 32 divisors (see below), whose sum is σ = 14496575159808. Its totient is φ = 6680449267200.

The previous prime is 10152311313229. The next prime is 10152311313359. The reversal of 10152311313305 is 50331311325101.

It is not a de Polignac number, because 10152311313305 - 2¹⁸ = 10152311051161 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57902477 + ... + 58077546.

It is an arithmetic number, because the mean of its divisors is an integer number (453017973744).

Almost surely, 2^{10152311313305} is an apocalyptic number.

It is an amenable number.

10152311313305 is a deficient number, since it is larger than the sum of its proper divisors (4344263846503).

10152311313305 is a wasteful number, since it uses less digits than its factorization.

10152311313305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115980137.

The product of its (nonzero) digits is 4050, while the sum is 29.

Adding to 10152311313305 its reverse (50331311325101), we get a palindrome (60483622638406).

The spelling of 10152311313305 in words is "ten trillion, one hundred fifty-two billion, three hundred eleven million, three hundred thirteen thousand, three hundred five".