1513144231200 has 216 divisors, whose sum is σ = 6097971454848. Its totient is φ = 345861527040.

The previous prime is 1513144231199. The next prime is 1513144231201. The reversal of 1513144231200 is 21324413151.

1513144231200 is a `hidden beast` number, since 1 + 5 + 1 + 31 + 4 + 423 + 1 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (1513144231199) and next prime (1513144231201).

It is not an unprimeable number, because it can be changed into a prime (1513144231201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14960952 + ... + 15061751.

It is an arithmetic number, because the mean of its divisors is an integer number (28231349328).

Almost surely, 2^{1513144231200} is an apocalyptic number.

1513144231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1513144231200 is an abundant number, since it is smaller than the sum of its proper divisors (4584827223648).

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

1513144231200 is a wasteful number, since it uses less digits than its factorization.

1513144231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30022736 (or 30022720 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1513144231200 its reverse (21324413151), we get a palindrome (1534468644351).

The spelling of 1513144231200 in words is "one trillion, five hundred thirteen billion, one hundred forty-four million, two hundred thirty-one thousand, two hundred".