102213131033312 has 96 divisors (see below), whose sum is σ = 217977643699200. Its totient is φ = 46900052559360.

The previous prime is 102213131033291. The next prime is 102213131033317. The reversal of 102213131033312 is 213330131312201.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213131033317) 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, 101405603 + ... + 102408605.

It is an arithmetic number, because the mean of its divisors is an integer number (2270600455200).

Almost surely, 2^{102213131033312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102213131033312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108988821849600).

102213131033312 is an abundant number, since it is smaller than the sum of its proper divisors (115764512665888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102213131033312 is a wasteful number, since it uses less digits than its factorization.

102213131033312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004456 (or 1004448 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 102213131033312 its reverse (213330131312201), we get a palindrome (315543262345513).

The spelling of 102213131033312 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirty-one million, thirty-three thousand, three hundred twelve".