1020131121001 has 2 divisors, whose sum is σ = 1020131121002. Its totient is φ = 1020131121000.

The previous prime is 1020131120993. The next prime is 1020131121019. The reversal of 1020131121001 is 1001211310201.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 945997445376 + 74133675625 = 972624^2 + 272275^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020131121001 - 2³ = 1020131120993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020131121041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510065560500 + 510065560501.

It is an arithmetic number, because the mean of its divisors is an integer number (510065560501).

Almost surely, 2^{1020131121001} is an apocalyptic number.

It is an amenable number.

1020131121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020131121001 is an equidigital number, since it uses as much as digits as its factorization.

1020131121001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1020131121001 its reverse (1001211310201), we get a palindrome (2021342431202).

The spelling of 1020131121001 in words is "one trillion, twenty billion, one hundred thirty-one million, one hundred twenty-one thousand, one".