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131330102312031 = 3733138349330807
BaseRepresentation
bin11101110111000110101100…
…000110001011110001011111
3122020000000221122011122002120
4131313012230012023301133
5114203203022142441111
61143152114402354023
736443200235623620
oct3567065406136137
9566000848148076
10131330102312031
1138933868a93a47
12128907a165b913
1358384b5cb767c
1424605a75c5a47
15102b2e60a7406
hex7771ac18bc5f

131330102312031 has 32 divisors (see below), whose sum is σ = 201250753609728. Its totient is φ = 74623696852320.

The previous prime is 131330102312029. The next prime is 131330102312039. The reversal of 131330102312031 is 130213201033131.

It is not a de Polignac number, because 131330102312031 - 21 = 131330102312029 is a prime.

It is a super-2 number, since 2×1313301023120312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131330102311992 and 131330102312010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330102312039) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22003171 + ... + 27327636.

It is an arithmetic number, because the mean of its divisors is an integer number (6289086050304).

Almost surely, 2131330102312031 is an apocalyptic number.

131330102312031 is a deficient number, since it is larger than the sum of its proper divisors (69920651297697).

131330102312031 is a wasteful number, since it uses less digits than its factorization.

131330102312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49331531.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131330102312031 its reverse (130213201033131), we get a palindrome (261543303345162).

The spelling of 131330102312031 in words is "one hundred thirty-one trillion, three hundred thirty billion, one hundred two million, three hundred twelve thousand, thirty-one".

Divisors: 1 3 7 21 331 383 993 1149 2317 2681 6951 8043 126773 380319 887411 2662233 49330807 147992421 345315649 1035946947 16328497117 18893699081 48985491351 56681097243 114299479819 132255893567 342898439457 396767680701 6253814395811 18761443187433 43776700770677 131330102312031