1315510134120 has 1024 divisors, whose sum is σ = 5697635328000. Its totient is φ = 262181339136.

The previous prime is 1315510134109. The next prime is 1315510134143. The reversal of 1315510134120 is 214310155131.

1315510134120 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 510 + 134 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 255 ways as a sum of consecutive naturals, for example, 808548747 + ... + 808550373.

It is an arithmetic number, because the mean of its divisors is an integer number (5564097000).

Almost surely, 2^{1315510134120} is an apocalyptic number.

1315510134120 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 1315510134120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2848817664000).

1315510134120 is an abundant number, since it is smaller than the sum of its proper divisors (4382125193880).

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

1315510134120 is a wasteful number, since it uses less digits than its factorization.

1315510134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 1315510134120 its reverse (214310155131), we get a palindrome (1529820289251).

The spelling of 1315510134120 in words is "one trillion, three hundred fifteen billion, five hundred ten million, one hundred thirty-four thousand, one hundred twenty".