1513233040000 has 160 divisors (see below), whose sum is σ = 4109565018240. Its totient is φ = 550266240000.

The previous prime is 1513233039991. The next prime is 1513233040013. The reversal of 1513233040000 is 403323151.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20209 + ... + 1739791.

It is an arithmetic number, because the mean of its divisors is an integer number (25684781364).

Almost surely, 2^{1513233040000} is an apocalyptic number.

1513233040000 is a gapful number since it is divisible by the number (10) 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 1513233040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054782509120).

1513233040000 is an abundant number, since it is smaller than the sum of its proper divisors (2596331978240).

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

1513233040000 is an equidigital number, since it uses as much as digits as its factorization.

1513233040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719628 (or 1719601 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 1513233040000 its reverse (403323151), we get a palindrome (1513636363151).

The spelling of 1513233040000 in words is "one trillion, five hundred thirteen billion, two hundred thirty-three million, forty thousand".