1331653022401 has 16 divisors (see below), whose sum is σ = 1512928368000. Its totient is φ = 1161928793088.

The previous prime is 1331653022353. The next prime is 1331653022417. The reversal of 1331653022401 is 1042203561331.

It is a cyclic number.

It is not a de Polignac number, because 1331653022401 - 2²¹ = 1331650925249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1331653022471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5892781 + ... + 6114586.

It is an arithmetic number, because the mean of its divisors is an integer number (94558023000).

Almost surely, 2^{1331653022401} is an apocalyptic number.

It is an amenable number.

1331653022401 is a deficient number, since it is larger than the sum of its proper divisors (181275345599).

1331653022401 is a wasteful number, since it uses less digits than its factorization.

1331653022401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12007848.

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 1331653022401 its reverse (1042203561331), we get a palindrome (2373856583732).

The spelling of 1331653022401 in words is "one trillion, three hundred thirty-one billion, six hundred fifty-three million, twenty-two thousand, four hundred one".