213351155040 has 192 divisors, whose sum is σ = 707888160000. Its totient is φ = 53864146944.

The previous prime is 213351155029. The next prime is 213351155081. The reversal of 213351155040 is 40551153312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 213351154989 and 213351155007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15798211 + ... + 15811709.

It is an arithmetic number, because the mean of its divisors is an integer number (3686917500).

Almost surely, 2^213351155040 is an apocalyptic number.

213351155040 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 213351155040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353944080000).

213351155040 is an abundant number, since it is smaller than the sum of its proper divisors (494537004960).

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

213351155040 is a wasteful number, since it uses less digits than its factorization.

213351155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15269 (or 15261 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 213351155040 in words is "two hundred thirteen billion, three hundred fifty-one million, one hundred fifty-five thousand, forty".