102133012001301 has 24 divisors (see below), whose sum is σ = 162041697155520. Its totient is φ = 61700492373696.

The previous prime is 102133012001299. The next prime is 102133012001303. The reversal of 102133012001301 is 103100210331201.

102133012001301 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 330 + 1 + 200 + 130 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (102133012001299) and next prime (102133012001303).

It is not a de Polignac number, because 102133012001301 - 2¹ = 102133012001299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133012001303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12984106416 + ... + 12984114281.

It is an arithmetic number, because the mean of its divisors is an integer number (6751737381480).

Almost surely, 2^{102133012001301} is an apocalyptic number.

It is an amenable number.

102133012001301 is a deficient number, since it is larger than the sum of its proper divisors (59908685154219).

102133012001301 is a wasteful number, since it uses less digits than its factorization.

102133012001301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25968220745 (or 25968220742 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102133012001301 its reverse (103100210331201), we get a palindrome (205233222332502).

The spelling of 102133012001301 in words is "one hundred two trillion, one hundred thirty-three billion, twelve million, one thousand, three hundred one".