1053311124144 has 40 divisors (see below), whose sum is σ = 2724592264240. Its totient is φ = 350647123968.

The previous prime is 1053311124127. The next prime is 1053311124149. The reversal of 1053311124144 is 4414211133501.

It is a happy number.

1053311124144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1053311124144³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1053311124149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14230957 + ... + 14304780.

It is an arithmetic number, because the mean of its divisors is an integer number (68114806606).

Almost surely, 2^{1053311124144} is an apocalyptic number.

It is an amenable number.

1053311124144 is an abundant number, since it is smaller than the sum of its proper divisors (1671281140096).

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

1053311124144 is a wasteful number, since it uses less digits than its factorization.

1053311124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28536517 (or 28536511 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1053311124144 its reverse (4414211133501), we get a palindrome (5467522257645).

The spelling of 1053311124144 in words is "one trillion, fifty-three billion, three hundred eleven million, one hundred twenty-four thousand, one hundred forty-four".