1011033413000 has 64 divisors (see below), whose sum is σ = 2547804233520. Its totient is φ = 373304640000.

The previous prime is 1011033412889. The next prime is 1011033413009. The reversal of 1011033413000 is 3143301101.

It can be written as a sum of positive squares in 8 ways, for example, as 9580885924 + 1001452527076 = 97882^2 + 1000726^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1011033413000.

It is not an unprimeable number, because it can be changed into a prime (1011033413009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38872901 + ... + 38898900.

Almost surely, 2^{1011033413000} is an apocalyptic number.

1011033413000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011033413000 is an abundant number, since it is smaller than the sum of its proper divisors (1536770820520).

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

1011033413000 is a wasteful number, since it uses less digits than its factorization.

1011033413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77771835 (or 77771821 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1011033413000 its reverse (3143301101), we get a palindrome (1014176714101).

The spelling of 1011033413000 in words is "one trillion, eleven billion, thirty-three million, four hundred thirteen thousand".