213401531115040 has 96 divisors (see below), whose sum is σ = 505934995587840. Its totient is φ = 85060439116800.

The previous prime is 213401531114951. The next prime is 213401531115053. The reversal of 213401531115040 is 40511135104312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213401531114993 and 213401531115011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164507370 + ... + 165799510.

It is an arithmetic number, because the mean of its divisors is an integer number (5270156204040).

Almost surely, 2^{213401531115040} is an apocalyptic number.

213401531115040 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 213401531115040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252967497793920).

213401531115040 is an abundant number, since it is smaller than the sum of its proper divisors (292533464472800).

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

213401531115040 is a wasteful number, since it uses less digits than its factorization.

213401531115040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295786 (or 1295778 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

Adding to 213401531115040 its reverse (40511135104312), we get a palindrome (253912666219352).

The spelling of 213401531115040 in words is "two hundred thirteen trillion, four hundred one billion, five hundred thirty-one million, one hundred fifteen thousand, forty".