101000001031 has 2 divisors, whose sum is σ = 101000001032. Its totient is φ = 101000001030.

The previous prime is 101000000971. The next prime is 101000001043. The reversal of 101000001031 is 130100000101.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (130100000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101000001031 - 2¹⁷ = 100999869959 is a prime.

It is a super-2 number, since 2×101000001031² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000001931) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500000515 + 50500000516.

It is an arithmetic number, because the mean of its divisors is an integer number (50500000516).

Almost surely, 2^101000001031 is an apocalyptic number.

101000001031 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000001031 is an equidigital number, since it uses as much as digits as its factorization.

101000001031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 101000001031 its reverse (130100000101), we get a palindrome (231100001132).

The spelling of 101000001031 in words is "one hundred one billion, one thousand, thirty-one".