971313120 has 240 divisors, whose sum is σ = 3457792800. Its totient is φ = 256766976.

The previous prime is 971313103. The next prime is 971313127. The reversal of 971313120 is 21313179.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971313127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1930789 + ... + 1931291.

It is an arithmetic number, because the mean of its divisors is an integer number (14407470).

Almost surely, 2^971313120 is an apocalyptic number.

971313120 is a gapful number since it is divisible by the number (90) 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 971313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728896400).

971313120 is an abundant number, since it is smaller than the sum of its proper divisors (2486479680).

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

971313120 is a wasteful number, since it uses less digits than its factorization.

971313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 971313120 is about 31165.8967462834. The cubic root of 971313120 is about 990.3447834909.

Adding to 971313120 its reverse (21313179), we get a palindrome (992626299).

The spelling of 971313120 in words is "nine hundred seventy-one million, three hundred thirteen thousand, one hundred twenty".