10413533531401 has 64 divisors (see below), whose sum is σ = 14937360721920. Its totient is φ = 6990118248960.

The previous prime is 10413533531383. The next prime is 10413533531431.

10413533531401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10413533531401 - 2⁹ = 10413533530889 is a prime.

It is a super-2 number, since 2×10413533531401² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10413533531431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2811796 + ... + 5360341.

It is an arithmetic number, because the mean of its divisors is an integer number (233396261280).

Almost surely, 2^{10413533531401} is an apocalyptic number.

10413533531401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10413533531401 is a deficient number, since it is larger than the sum of its proper divisors (4523827190519).

10413533531401 is a wasteful number, since it uses less digits than its factorization.

10413533531401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8172254.

The product of its (nonzero) digits is 32400, while the sum is 34.

It can be divided in two parts, 1041353 and 3531401, that added together give a palindrome (4572754).

The spelling of 10413533531401 in words is "ten trillion, four hundred thirteen billion, five hundred thirty-three million, five hundred thirty-one thousand, four hundred one".