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131001023029 is a prime number
BaseRepresentation
bin111101000000001000…
…1001111101000110101
3110112010200112111001211
41322000101033220311
54121242230214104
6140103034321421
712315220215562
oct1720021175065
9415120474054
10131001023029
1150614731598
122147bb89271
13c4793ac556
1464aa401869
15361ab97e04
hex1e8044fa35

131001023029 has 2 divisors, whose sum is σ = 131001023030. Its totient is φ = 131001023028.

The previous prime is 131001023003. The next prime is 131001023047. The reversal of 131001023029 is 920320100131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127598984100 + 3402038929 = 357210^2 + 58327^2 .

It is a cyclic number.

It is not a de Polignac number, because 131001023029 - 221 = 130998925877 is a prime.

It is a super-2 number, since 2×1310010230292 (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 (131001023059) 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 as a sum of consecutive naturals, namely, 65500511514 + 65500511515.

It is an arithmetic number, because the mean of its divisors is an integer number (65500511515).

Almost surely, 2131001023029 is an apocalyptic number.

It is an amenable number.

131001023029 is a deficient number, since it is larger than the sum of its proper divisors (1).

131001023029 is an equidigital number, since it uses as much as digits as its factorization.

131001023029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 131001023029 in words is "one hundred thirty-one billion, one million, twenty-three thousand, twenty-nine".