21513454542132 has 384 divisors, whose sum is σ = 60186672967680. Its totient is φ = 5854556897280.

The previous prime is 21513454542131. The next prime is 21513454542137. The reversal of 21513454542132 is 23124545431512.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21513454542131) 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, 21070963782 + ... + 21070964802.

It is an arithmetic number, because the mean of its divisors is an integer number (156736127520).

Almost surely, 2^{21513454542132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21513454542132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30093336483840).

21513454542132 is an abundant number, since it is smaller than the sum of its proper divisors (38673218425548).

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

21513454542132 is a wasteful number, since it uses less digits than its factorization.

21513454542132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2069 counting only the distinct ones).

The product of its digits is 576000, while the sum is 42.

Adding to 21513454542132 its reverse (23124545431512), we get a palindrome (44637999973644).

The spelling of 21513454542132 in words is "twenty-one trillion, five hundred thirteen billion, four hundred fifty-four million, five hundred forty-two thousand, one hundred thirty-two".