1001344400133 has 32 divisors (see below), whose sum is σ = 1664629125120. Its totient is φ = 520161216960.

The previous prime is 1001344400117. The next prime is 1001344400167. The reversal of 1001344400133 is 3310044431001.

1001344400133 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1001344400133 - 2⁴ = 1001344400117 is a prime.

It is a super-2 number, since 2×1001344400133² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001344400113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9315691 + ... + 9422567.

It is an arithmetic number, because the mean of its divisors is an integer number (52019660160).

Almost surely, 2^{1001344400133} is an apocalyptic number.

It is an amenable number.

1001344400133 is a deficient number, since it is larger than the sum of its proper divisors (663284724987).

1001344400133 is a wasteful number, since it uses less digits than its factorization.

1001344400133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147457.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1001344400133 its reverse (3310044431001), we get a palindrome (4311388831134).

The spelling of 1001344400133 in words is "one trillion, one billion, three hundred forty-four million, four hundred thousand, one hundred thirty-three".