1000311434120 has 32 divisors (see below), whose sum is σ = 2251881129600. Its totient is φ = 399914724288.

The previous prime is 1000311434117. The next prime is 1000311434153. The reversal of 1000311434120 is 214341130001.

1000311434120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1000311434120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1000311434092 and 1000311434101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6480560 + ... + 6633119.

It is an arithmetic number, because the mean of its divisors is an integer number (70371285300).

Almost surely, 2^{1000311434120} is an apocalyptic number.

1000311434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000311434120 is an abundant number, since it is smaller than the sum of its proper divisors (1251569695480).

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

1000311434120 is a wasteful number, since it uses less digits than its factorization.

1000311434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13115597 (or 13115593 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1000311434120 its reverse (214341130001), we get a palindrome (1214652564121).

The spelling of 1000311434120 in words is "one trillion, three hundred eleven million, four hundred thirty-four thousand, one hundred twenty".