10401533001301 has 32 divisors (see below), whose sum is σ = 11871840445920. Its totient is φ = 9043240550400.

The previous prime is 10401533001263. The next prime is 10401533001329. The reversal of 10401533001301 is 10310033510401.

It can be written as a sum of positive squares in 16 ways, for example, as 515130611076 + 9886402390225 = 717726^2 + 3144265^2 .

It is a cyclic number.

It is not a de Polignac number, because 10401533001301 - 2⁷ = 10401533001173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10401533001341) 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, 166177831 + ... + 166240411.

It is an arithmetic number, because the mean of its divisors is an integer number (370995013935).

Almost surely, 2^{10401533001301} is an apocalyptic number.

It is an amenable number.

10401533001301 is a deficient number, since it is larger than the sum of its proper divisors (1470307444619).

10401533001301 is a wasteful number, since it uses less digits than its factorization.

10401533001301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73417.

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 10401533001301 its reverse (10310033510401), we get a palindrome (20711566511702).

The spelling of 10401533001301 in words is "ten trillion, four hundred one billion, five hundred thirty-three million, one thousand, three hundred one".