1003131102101 has 2 divisors, whose sum is σ = 1003131102102. Its totient is φ = 1003131102100.

The previous prime is 1003131102049. The next prime is 1003131102107. The reversal of 1003131102101 is 1012011313001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 834940890001 + 168190212100 = 913751^2 + 410110^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003131102101 - 2⁶ = 1003131102037 is a prime.

It is a super-2 number, since 2×1003131102101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1003131102107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501565551050 + 501565551051.

It is an arithmetic number, because the mean of its divisors is an integer number (501565551051).

Almost surely, 2^{1003131102101} is an apocalyptic number.

It is an amenable number.

1003131102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003131102101 is an equidigital number, since it uses as much as digits as its factorization.

1003131102101 is an evil number, because the sum of its binary digits is even.

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

Adding to 1003131102101 its reverse (1012011313001), we get a palindrome (2015142415102).

The spelling of 1003131102101 in words is "one trillion, three billion, one hundred thirty-one million, one hundred two thousand, one hundred one".