102213032000331 has 32 divisors (see below), whose sum is σ = 157757168475648. Its totient is φ = 57657093327360.

The previous prime is 102213032000291. The next prime is 102213032000351. The reversal of 102213032000331 is 133000230312201.

It is not a de Polignac number, because 102213032000331 - 2⁶ = 102213032000267 is a prime.

It is a super-2 number, since 2×102213032000331² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102213032000298 and 102213032000307.

It is not an unprimeable number, because it can be changed into a prime (102213032000351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21547230 + ... + 25859411.

It is an arithmetic number, because the mean of its divisors is an integer number (4929911514864).

Almost surely, 2^{102213032000331} is an apocalyptic number.

102213032000331 is a deficient number, since it is larger than the sum of its proper divisors (55544136475317).

102213032000331 is a wasteful number, since it uses less digits than its factorization.

102213032000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47407971.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102213032000331 its reverse (133000230312201), we get a palindrome (235213262312532).

The spelling of 102213032000331 in words is "one hundred two trillion, two hundred thirteen billion, thirty-two million, three hundred thirty-one", and thus it is an aban number.