21142131306760 has 32 divisors (see below), whose sum is σ = 47570080967640. Its totient is φ = 8456801762304.

The previous prime is 21142131306743. The next prime is 21142131306761. The reversal of 21142131306760 is 6760313124112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8318298149316 + 12823833157444 = 2884146^2 + 3581038^2 .

It is not an unprimeable number, because it can be changed into a prime (21142131306761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5558464 + ... + 8554576.

Almost surely, 2^{21142131306760} is an apocalyptic number.

21142131306760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21142131306760 is an abundant number, since it is smaller than the sum of its proper divisors (26427949660880).

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

21142131306760 is a wasteful number, since it uses less digits than its factorization.

21142131306760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172537 (or 3172533 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 21142131306760 in words is "twenty-one trillion, one hundred forty-two billion, one hundred thirty-one million, three hundred six thousand, seven hundred sixty".