7137320101296 has 480 divisors, whose sum is σ = 24683247313920. Its totient is φ = 1752461222400.

The previous prime is 7137320101273. The next prime is 7137320101333. The reversal of 7137320101296 is 6921010237317.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 229546711 + ... + 229577801.

It is an arithmetic number, because the mean of its divisors is an integer number (51423431904).

Almost surely, 2^{7137320101296} is an apocalyptic number.

7137320101296 is a gapful number since it is divisible by the number (76) 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 7137320101296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12341623656960).

7137320101296 is an abundant number, since it is smaller than the sum of its proper divisors (17545927212624).

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

7137320101296 is a wasteful number, since it uses less digits than its factorization.

7137320101296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31613 (or 31600 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 7137320101296 in words is "seven trillion, one hundred thirty-seven billion, three hundred twenty million, one hundred one thousand, two hundred ninety-six".