1000311122320 has 160 divisors (see below), whose sum is σ = 2421281028096. Its totient is φ = 383917363200.

The previous prime is 1000311122311. The next prime is 1000311122323. The reversal of 1000311122320 is 232211130001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1000311122294 and 1000311122303.

It is not an unprimeable number, because it can be changed into a prime (1000311122323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174358492 + ... + 174364228.

Almost surely, 2^{1000311122320} is an apocalyptic number.

1000311122320 is a gapful number since it is divisible by the number (10) 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 1000311122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210640514048).

1000311122320 is an abundant number, since it is smaller than the sum of its proper divisors (1420969905776).

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

1000311122320 is a wasteful number, since it uses less digits than its factorization.

1000311122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369 (or 6363 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1000311122320 its reverse (232211130001), we get a palindrome (1232522252321).

The spelling of 1000311122320 in words is "one trillion, three hundred eleven million, one hundred twenty-two thousand, three hundred twenty".