21513501310140 has 384 divisors, whose sum is σ = 79942936227840. Its totient is φ = 4696222924800.

The previous prime is 21513501310121. The next prime is 21513501310307. The reversal of 21513501310140 is 4101310531512.

21513501310140 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 3 + 501 + 3 + 10 + 140 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55535520 + ... + 55921560.

It is an arithmetic number, because the mean of its divisors is an integer number (208184729760).

Almost surely, 2^{21513501310140} is an apocalyptic number.

21513501310140 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 21513501310140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39971468113920).

21513501310140 is an abundant number, since it is smaller than the sum of its proper divisors (58429434917700).

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

21513501310140 is a wasteful number, since it uses less digits than its factorization.

21513501310140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386730 (or 386722 counting only the distinct ones).

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

Adding to 21513501310140 its reverse (4101310531512), we get a palindrome (25614811841652).

The spelling of 21513501310140 in words is "twenty-one trillion, five hundred thirteen billion, five hundred one million, three hundred ten thousand, one hundred forty".