1011341113400 has 96 divisors (see below), whose sum is σ = 2406021518160. Its totient is φ = 395199267840.

The previous prime is 1011341113397. The next prime is 1011341113421. The reversal of 1011341113400 is 43111431101.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2265059 + ... + 2674541.

Almost surely, 2^{1011341113400} is an apocalyptic number.

1011341113400 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 1011341113400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203010759080).

1011341113400 is an abundant number, since it is smaller than the sum of its proper divisors (1394680404760).

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

1011341113400 is a wasteful number, since it uses less digits than its factorization.

1011341113400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409785 (or 409776 counting only the distinct ones).

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

Adding to 1011341113400 its reverse (43111431101), we get a palindrome (1054452544501).

The spelling of 1011341113400 in words is "one trillion, eleven billion, three hundred forty-one million, one hundred thirteen thousand, four hundred".