213133231131000 has 256 divisors, whose sum is σ = 685273675806720. Its totient is φ = 55117258880000.

The previous prime is 213133231130843. The next prime is 213133231131059. The reversal of 213133231131000 is 131132331312.

It is a super-2 number, since 2×213133231131000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15353005 + ... + 25728995.

It is an arithmetic number, because the mean of its divisors is an integer number (2676850296120).

Almost surely, 2^{213133231131000} is an apocalyptic number.

213133231131000 is a gapful number since it is divisible by the number (20) 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 213133231131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342636837903360).

213133231131000 is an abundant number, since it is smaller than the sum of its proper divisors (472140444675720).

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

213133231131000 is a wasteful number, since it uses less digits than its factorization.

213133231131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10376223 (or 10376209 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 213133231131000 its reverse (131132331312), we get a palindrome (213264363462312).

The spelling of 213133231131000 in words is "two hundred thirteen trillion, one hundred thirty-three billion, two hundred thirty-one million, one hundred thirty-one thousand".