1002313312 has 288 divisors, whose sum is σ = 2789095680. Its totient is φ = 343848960.

The previous prime is 1002313309. The next prime is 1002313321. The reversal of 1002313312 is 2133132001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12076023 + ... + 12076105.

It is an arithmetic number, because the mean of its divisors is an integer number (9684360).

Almost surely, 2^1002313312 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 1002313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394547840).

1002313312 is an abundant number, since it is smaller than the sum of its proper divisors (1786782368).

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

1002313312 is a wasteful number, since it uses less digits than its factorization.

1002313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1002313312 is about 31659.3321470937. The cubic root of 1002313312 is about 1000.7705101616.

Adding to 1002313312 its reverse (2133132001), we get a palindrome (3135445313).

The spelling of 1002313312 in words is "one billion, two million, three hundred thirteen thousand, three hundred twelve".