102213013131000 has 640 divisors, whose sum is σ = 369221441434560. Its totient is φ = 26359240320000.

The previous prime is 102213013130971. The next prime is 102213013131001. The reversal of 102213013131000 is 131310312201.

102213013131000 is a `hidden beast` number, since 1 + 0 + 2 + 21 + 301 + 31 + 310 + 0 + 0 = 666.

It is a super-2 number, since 2×102213013131000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213013131001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 351637722 + ... + 351928278.

Almost surely, 2^{102213013131000} is an apocalyptic number.

102213013131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102213013131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184610720717280).

102213013131000 is an abundant number, since it is smaller than the sum of its proper divisors (267008428303560).

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

102213013131000 is a wasteful number, since it uses less digits than its factorization.

102213013131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290734 (or 290711 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 102213013131000 its reverse (131310312201), we get a palindrome (102344323443201).

The spelling of 102213013131000 in words is "one hundred two trillion, two hundred thirteen billion, thirteen million, one hundred thirty-one thousand".