10011413031144 has 96 divisors (see below), whose sum is σ = 29129586988320. Its totient is φ = 2858953286784.

The previous prime is 10011413031133. The next prime is 10011413031149. The reversal of 10011413031144 is 44113031411001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10011413031149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162847 + ... + 4477649.

It is an arithmetic number, because the mean of its divisors is an integer number (303433197795).

Almost surely, 2^{10011413031144} is an apocalyptic number.

10011413031144 is a gapful number since it is divisible by the number (14) 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 10011413031144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14564793494160).

10011413031144 is an abundant number, since it is smaller than the sum of its proper divisors (19118173957176).

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

10011413031144 is a wasteful number, since it uses less digits than its factorization.

10011413031144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4316799 (or 4316788 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10011413031144 its reverse (44113031411001), we get a palindrome (54124444442145).

The spelling of 10011413031144 in words is "ten trillion, eleven billion, four hundred thirteen million, thirty-one thousand, one hundred forty-four".