102213133231230 has 192 divisors, whose sum is σ = 308966499878400. Its totient is φ = 22959605571840.

The previous prime is 102213133231217. The next prime is 102213133231243. The reversal of 102213133231230 is 32132331312201.

102213133231230 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 313 + 3 + 2 + 312 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (102213133231217) and next prime (102213133231243).

It is a junction number, because it is equal to n+sod(n) for n = 102213133231194 and 102213133231203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115119285 + ... + 116003775.

It is an arithmetic number, because the mean of its divisors is an integer number (1609200520200).

Almost surely, 2^{102213133231230} is an apocalyptic number.

102213133231230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102213133231230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154483249939200).

102213133231230 is an abundant number, since it is smaller than the sum of its proper divisors (206753366647170).

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

102213133231230 is a wasteful number, since it uses less digits than its factorization.

102213133231230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887679 (or 887676 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 102213133231230 its reverse (32132331312201), we get a palindrome (134345464543431).

The spelling of 102213133231230 in words is "one hundred two trillion, two hundred thirteen billion, one hundred thirty-three million, two hundred thirty-one thousand, two hundred thirty".