213131420040 has 512 divisors, whose sum is σ = 875623219200. Its totient is φ = 40131210240.

The previous prime is 213131420027. The next prime is 213131420041. The reversal of 213131420040 is 40024131312.

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 = 213131419989 and 213131420016.

It is not an unprimeable number, because it can be changed into a prime (213131420041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4011489 + ... + 4064271.

It is an arithmetic number, because the mean of its divisors is an integer number (1710201600).

Almost surely, 2^213131420040 is an apocalyptic number.

213131420040 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 213131420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437811609600).

213131420040 is an abundant number, since it is smaller than the sum of its proper divisors (662491799160).

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

213131420040 is a wasteful number, since it uses less digits than its factorization.

213131420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52857 (or 52853 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 213131420040 its reverse (40024131312), we get a palindrome (253155551352).

The spelling of 213131420040 in words is "two hundred thirteen billion, one hundred thirty-one million, four hundred twenty thousand, forty".