513230023213000 has 128 divisors (see below), whose sum is σ = 1211511481670880. Its totient is φ = 203492466278400.

The previous prime is 513230023212971. The next prime is 513230023213013. The reversal of 513230023213000 is 312320032315.

It can be written as a sum of positive squares in 16 ways, for example, as 15591457754404 + 497638565458596 = 3948602^2 + 22307814^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 89982232 + ... + 95515768.

Almost surely, 2^{513230023213000} is an apocalyptic number.

513230023213000 is a gapful number since it is divisible by the number (50) 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 513230023213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605755740835440).

513230023213000 is an abundant number, since it is smaller than the sum of its proper divisors (698281458457880).

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

513230023213000 is a wasteful number, since it uses less digits than its factorization.

513230023213000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534372 (or 5534358 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

Adding to 513230023213000 its reverse (312320032315), we get a palindrome (513542343245315).

The spelling of 513230023213000 in words is "five hundred thirteen trillion, two hundred thirty billion, twenty-three million, two hundred thirteen thousand".