1031131201001 has 16 divisors (see below), whose sum is σ = 1132340223168. Its totient is φ = 931181966400.

The previous prime is 1031131200991. The next prime is 1031131201031. The reversal of 1031131201001 is 1001021311301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1031131201001 - 2¹⁸ = 1031130938857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1031131201031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023371 + ... + 1763391.

It is an arithmetic number, because the mean of its divisors is an integer number (70771263948).

Almost surely, 2^{1031131201001} is an apocalyptic number.

1031131201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1031131201001 is a deficient number, since it is larger than the sum of its proper divisors (101209022167).

1031131201001 is a wasteful number, since it uses less digits than its factorization.

1031131201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740872.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1031131201001 its reverse (1001021311301), we get a palindrome (2032152512302).

The spelling of 1031131201001 in words is "one trillion, thirty-one billion, one hundred thirty-one million, two hundred one thousand, one".