102133123000331 has 8 divisors (see below), whose sum is σ = 103287223113840. Its totient is φ = 100979168152192.

The previous prime is 102133123000319. The next prime is 102133123000357. The reversal of 102133123000331 is 133000321331201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102133123000331 - 2²⁶ = 102133055891467 is a prime.

It is a super-2 number, since 2×102133123000331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102133123000297 and 102133123000306.

It is not an unprimeable number, because it can be changed into a prime (102133123000301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34901930 + ... + 37714863.

It is an arithmetic number, because the mean of its divisors is an integer number (12910902889230).

Almost surely, 2^{102133123000331} is an apocalyptic number.

102133123000331 is a deficient number, since it is larger than the sum of its proper divisors (1154100113509).

102133123000331 is an equidigital number, since it uses as much as digits as its factorization.

102133123000331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72632685.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 102133123000331 its reverse (133000321331201), we get a palindrome (235133444331532).

The spelling of 102133123000331 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred twenty-three million, three hundred thirty-one", and thus it is an aban number.