213481235136 has 448 divisors, whose sum is σ = 660685455360. Its totient is φ = 60296417280.

The previous prime is 213481235111. The next prime is 213481235147. The reversal of 213481235136 is 631532184312.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 213481235094 and 213481235103.

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, 247370641 + ... + 247371503.

It is an arithmetic number, because the mean of its divisors is an integer number (1474744320).

Almost surely, 2^213481235136 is an apocalyptic number.

213481235136 is a gapful number since it is divisible by the number (26) 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 213481235136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330342727680).

213481235136 is an abundant number, since it is smaller than the sum of its proper divisors (447204220224).

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

213481235136 is a wasteful number, since it uses less digits than its factorization.

213481235136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1074 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The spelling of 213481235136 in words is "two hundred thirteen billion, four hundred eighty-one million, two hundred thirty-five thousand, one hundred thirty-six".