102133001020313 has 16 divisors (see below), whose sum is σ = 103414151166480. Its totient is φ = 100854881740800.

The previous prime is 102133001020241. The next prime is 102133001020321. The reversal of 102133001020313 is 313020100331201.

It can be written as a sum of positive squares in 8 ways, for example, as 22154982920464 + 79978018099849 = 4706908^2 + 8943043^2 .

It is a cyclic number.

It is not a de Polignac number, because 102133001020313 - 2¹⁸ = 102133000758169 is a prime.

It is a super-2 number, since 2×102133001020313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102133001020333) 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, 292150883 + ... + 292500263.

It is an arithmetic number, because the mean of its divisors is an integer number (6463384447905).

Almost surely, 2^{102133001020313} is an apocalyptic number.

It is an amenable number.

102133001020313 is a deficient number, since it is larger than the sum of its proper divisors (1281150146167).

102133001020313 is a wasteful number, since it uses less digits than its factorization.

102133001020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353708.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 102133001020313 its reverse (313020100331201), we get a palindrome (415153101351514).

The spelling of 102133001020313 in words is "one hundred two trillion, one hundred thirty-three billion, one million, twenty thousand, three hundred thirteen".