11420131004100 has 864 divisors, whose sum is σ = 45671205355776. Its totient is φ = 2322423705600.

The previous prime is 11420131004083. The next prime is 11420131004129. The reversal of 11420131004100 is 140013102411.

11420131004100 is a `hidden beast` number, since 1 + 142 + 0 + 13 + 100 + 410 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 324224490 + ... + 324259710.

It is an arithmetic number, because the mean of its divisors is an integer number (52860191384).

Almost surely, 2^{11420131004100} is an apocalyptic number.

11420131004100 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 11420131004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22835602677888).

11420131004100 is an abundant number, since it is smaller than the sum of its proper divisors (34251074351676).

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

11420131004100 is a wasteful number, since it uses less digits than its factorization.

11420131004100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35405 (or 35395 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11420131004100 its reverse (140013102411), we get a palindrome (11560144106511).

The spelling of 11420131004100 in words is "eleven trillion, four hundred twenty billion, one hundred thirty-one million, four thousand, one hundred".