100313400433141 has 128 divisors (see below), whose sum is σ = 125329418726400. Its totient is φ = 78354593021952.

The previous prime is 100313400433109. The next prime is 100313400433151. The reversal of 100313400433141 is 141334004313001.

It is a cyclic number.

It is not a de Polignac number, because 100313400433141 - 2⁵ = 100313400433109 is a prime.

It is a super-2 number, since 2×100313400433141² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313400433151) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 107058057625 + ... + 107058058561.

It is an arithmetic number, because the mean of its divisors is an integer number (979136083800).

Almost surely, 2^{100313400433141} is an apocalyptic number.

It is an amenable number.

100313400433141 is a deficient number, since it is larger than the sum of its proper divisors (25016018293259).

100313400433141 is a wasteful number, since it uses less digits than its factorization.

100313400433141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063.

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 100313400433141 its reverse (141334004313001), we get a palindrome (241647404746142).

The spelling of 100313400433141 in words is "one hundred trillion, three hundred thirteen billion, four hundred million, four hundred thirty-three thousand, one hundred forty-one".