213135141531312 has 720 divisors, whose sum is σ = 828748029578560. Its totient is φ = 49720201850880.

The previous prime is 213135141531307. The next prime is 213135141531337.

213135141531312 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 3 + 51 + 41 + 531 + 31 + 2 = 666.

213135141531312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56850114 + ... + 60483102.

Almost surely, 2^{213135141531312} is an apocalyptic number.

213135141531312 is a gapful number since it is divisible by the number (22) 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 213135141531312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414374014789280).

213135141531312 is an abundant number, since it is smaller than the sum of its proper divisors (615612888047248).

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

213135141531312 is a wasteful number, since it uses less digits than its factorization.

213135141531312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633082 (or 3633062 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 213135141531312 in words is "two hundred thirteen trillion, one hundred thirty-five billion, one hundred forty-one million, five hundred thirty-one thousand, three hundred twelve".