1315133142510 has 256 divisors, whose sum is σ = 3565287290880. Its totient is φ = 307706880000.

The previous prime is 1315133142461. The next prime is 1315133142517. The reversal of 1315133142510 is 152413315131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1315133142517) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 549573874 + ... + 549576266.

It is an arithmetic number, because the mean of its divisors is an integer number (13926903480).

Almost surely, 2^{1315133142510} is an apocalyptic number.

1315133142510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1315133142510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782643645440).

1315133142510 is an abundant number, since it is smaller than the sum of its proper divisors (2250154148370).

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

1315133142510 is a wasteful number, since it uses less digits than its factorization.

1315133142510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875.

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 1315133142510 its reverse (152413315131), we get a palindrome (1467546457641).

The spelling of 1315133142510 in words is "one trillion, three hundred fifteen billion, one hundred thirty-three million, one hundred forty-two thousand, five hundred ten".