1011313411400 has 48 divisors (see below), whose sum is σ = 2489615671140. Its totient is φ = 380729753600.

The previous prime is 1011313411397. The next prime is 1011313411421. The reversal of 1011313411400 is 41143131101.

It can be written as a sum of positive squares in 6 ways, for example, as 527985343876 + 483328067524 = 726626^2 + 695218^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 148719161 + ... + 148725960.

Almost surely, 2^{1011313411400} is an apocalyptic number.

1011313411400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011313411400 is an abundant number, since it is smaller than the sum of its proper divisors (1478302259740).

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

1011313411400 is a wasteful number, since it uses less digits than its factorization.

1011313411400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297445154 (or 297445145 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 1011313411400 its reverse (41143131101), we get a palindrome (1052456542501).

The spelling of 1011313411400 in words is "one trillion, eleven billion, three hundred thirteen million, four hundred eleven thousand, four hundred".