2151513321120 has 384 divisors, whose sum is σ = 8111186657280. Its totient is φ = 531088081920.

The previous prime is 2151513321077. The next prime is 2151513321121. The reversal of 2151513321120 is 211233151512.

2151513321120 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 513 + 3 + 21 + 120 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2151513321121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2730907 + ... + 3429413.

It is an arithmetic number, because the mean of its divisors is an integer number (21122881920).

Almost surely, 2^{2151513321120} is an apocalyptic number.

2151513321120 is a gapful number since it is divisible by the number (20) 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 2151513321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055593328640).

2151513321120 is an abundant number, since it is smaller than the sum of its proper divisors (5959673336160).

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

2151513321120 is a wasteful number, since it uses less digits than its factorization.

2151513321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698585 (or 698571 counting only the distinct ones).

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

Adding to 2151513321120 its reverse (211233151512), we get a palindrome (2362746472632).

The spelling of 2151513321120 in words is "two trillion, one hundred fifty-one billion, five hundred thirteen million, three hundred twenty-one thousand, one hundred twenty".