102133001313231 has 128 divisors (see below), whose sum is σ = 167239987200000. Its totient is φ = 54140805927936.

The previous prime is 102133001313227. The next prime is 102133001313241. The reversal of 102133001313231 is 132313100331201.

It is not a de Polignac number, because 102133001313231 - 2² = 102133001313227 is a prime.

It is a super-2 number, since 2×102133001313231² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133001313241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32745430090 + ... + 32745433208.

It is an arithmetic number, because the mean of its divisors is an integer number (1306562400000).

Almost surely, 2^{102133001313231} is an apocalyptic number.

102133001313231 is a deficient number, since it is larger than the sum of its proper divisors (65106985886769).

102133001313231 is a wasteful number, since it uses less digits than its factorization.

102133001313231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5733.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 102133001313231 its reverse (132313100331201), we get a palindrome (234446101644432).

The spelling of 102133001313231 in words is "one hundred two trillion, one hundred thirty-three billion, one million, three hundred thirteen thousand, two hundred thirty-one".